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Multiple counters automata, safety analysis and presburger arithmetic

  • Hubert Comon
  • Yan Jurski
Regular Papers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1427)

Abstract

We consider automata with counters whose values are updated according to signals sent by the environment. A transition can be fired only if the values of the counters satisfy some guards (the guards of the transition). We consider guards of the form yi#yj + ci,j where yi is either xí or xi, the values of the counter i respectively after and before the transition, and # is any relational symbol in {=,≤,≥,>,<}. We show that the set of possible counter values which can be reached after any number of iterations of a loop is definable in the additive theory of ℕ (or ℤ or ℝ depending on the type of the counters). This result can be used for the safety analysis of multiple counters automata.

Keywords

Model Check Finite State Automaton Additive Theory Presburger Arithmetic Counter Automaton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Hubert Comon
    • 1
  • Yan Jurski
    • 1
  1. 1.LSV, ENS CachanCachan cedexFrance

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